Problem 2331 --Strings of Power  

2331: Strings of Power  

Time Limit: 1 Sec  Memory Limit: 128 MB
Submit: 31  Solved: 11
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Description


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Volodya likes listening to heavy metal and (occasionally) reading. No wonder

Volodya is especially interested in texts concerning his favourite music style.

Volodya calls a string powerful if it starts with "heavy" and ends with "metal". Finding all powerful substrings (by substring Volodya means a subsequence of consecutive characters in a string) in a given text makes our hero especially joyful. Recently he felt an enormous fit of energy while reading a certain text. So Volodya decided to count all powerful substrings in this text and brag about it all day long. Help him in this difficult task. Two substrings are considered different if they appear at the different positions in the text.

For simplicity, let us assume that Volodya's text can be represented as a single string. 




Input

Input contains a single non-empty string consisting of the lowercase Latin alphabet letters. Length of this string will not be greater than 1e6 characters. 

Output

Print exactly one number — the number of powerful substrings of the given string. 

Sample Input

heavymetalisheavymetal
heavymetalismetal
trueheavymetalissotruewellitisalsosoheavythatyoucanalmostfeeltheweightofmetalonyou

Sample Output

3
2
3

HINT





In the first sample the string "heavymetalisheavymetal" contains powerful substring
"heavymetal" twice, also the whole string "heavymetalisheavymetal" is certainly
powerful.



In the second sample the string "heavymetalismetal" contains two powerful substrings:
"heavymetal" and "heavymetalismetal". 




Source

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